Find the value of 1 3 -2 - 1 2 -3 - 1 4 -2

{(13)^ 2 (12)^ 3}÷(14)^ 2={(3^ 1)^ 2 (2^ 1)^ 3}÷ (4^ 1)^ 2 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #16 ...

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Synthetic Division of Polynomials

Find the valu...

Question

Find the value of ${{(\frac{1}{3})}^{- 2} - {(\frac{1}{2})}^{- 3}} \div {(\frac{1}{4})}^{- 2}$

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Solution

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\frac{1}{1 + \frac{1}{3 - \frac{4}{2 + \frac{1}{3 - (\frac{1}{2})}}}} + \frac{3}{3 - \frac{4}{3 + \frac{1}{2 - (\frac{1}{2})}}}

∣ ∣ ∣ \frac{1}{2} - 1 ∣ ∣ ∣ - ∣ ∣ ∣ \frac{2}{3} - 1 ∣ ∣ ∣ - ∣ ∣ ∣ \frac{3}{4} - 1 ∣ ∣ ∣ - ∣ ∣ ∣ \frac{4}{5} - 1 ∣ ∣ ∣

Find the value of:

$(1) (2^{0} + 3^{- 1}) \times 3^{2}$

$(i i) (2^{- 1} \times 3^{- 1}) \div 2^{- 3}$

$(i i i) {(\frac{1}{2})}^{- 2} + {(\frac{1}{3})}^{- 2} + {(\frac{1}{4})}^{- 2}$

1 + \frac{1}{1 + 2} + \frac{1}{1 + 2 + 3} + . . . . . . . . . . . + \frac{1}{1 + 2 + 3 + 4... n}

S = \frac{1}{1 + 1^{2} + 1^{4}} + \frac{2}{1 + 2^{2} + 2^{4}} + \frac{3}{1 + 3^{2} + 3^{4}} . . . . . . . \infty

14 S .

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